Compare the solutions of an equation and an inequality. What are the differences and the similarities? Please help!

Mathematics

1 answer:

Bingel [31]3 years ago

3 0

Equations have one answer while inequalities have more than one answer. They both have false answers.

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The diagram shows the graph of y = 2x + c, where c is a constant find the value of K.

mote1985 [20]

Answer:

$k=\frac{13}{2}$

Step-by-step explanation:

The equation $y=2x+c$ is a linear equation. By definition, the independent term on this equation (that is, the number that is not being multiplied by $x$ ) is the y-intercept, which is a fancy way of saying "the point where the line crosses the y-axis".

By looking at the equation, we know that our y-intercept is c. By looking at the graph, we can see that the y-intercept is -3. Therefore, $c=-3$ and we get the complete version of our linear equation:

$y=2x-3$

Now, looking at the graph we can see that the point $(k,10)$ lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace $x$ and $y$ by the values of the given point (which are $k$ and $10$ , respectively), and then solve for $k$ :